What question did this study set out to answer?

The aim is to establish a Harnack-type inequality for solutions of a perturbed Liouville equation influenced by turbulent flow dynamics.

April 17, 2026

A Harnack‐Type Inequality for a Perturbed Singular Liouville Equation

Key Points

The aim is to establish a Harnack-type inequality for solutions of a perturbed Liouville equation influenced by turbulent flow dynamics.
Derived from Onsager's statistical mechanics framework.
Analyzed sequences of solutions in a bounded domain containing the origin.
Utilized mathematical techniques pertinent to singular equations.
Formulated a specific Harnack-type inequality relevant to the perturbed Liouville equation.
Established conditions under which this inequality holds.
Highlighted the relevance of the results to analyzing turbulent Euler flows.

Abstract

ABSTRACT Motivated by the Onsager statistical mechanics description of turbulent Euler flows with point singularities, we obtain a Harnack‐type inequality for sequences of solutions of the following perturbed Liouville equation, where , , is a bounded domain in containing the origin and satisfies

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Authors

Daniele Bartolucci

P. Cosentino

Lina Wu

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Mathematische Nachrichten

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Institutions

University of Rome Tor Vergata

Beijing Jiaotong University

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Building similarity graph...

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A Harnack‐Type Inequality for a Perturbed Singular Liouville Equation

Key Points

Abstract

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Connected Papers

Discussion

Authors

Journals

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion

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